Search a number
-
+
11000013201 = 321222223689
BaseRepresentation
bin10100011111010011…
…01110000110010001
31001101121110120100100
422033221232012101
5140012000410301
65015304243013
7536406366222
oct121751560621
931347416310
1011000013201
114735247801
12216ba70469
131063c30668
14764cb5249
15445a93286
hex28fa6e191

11000013201 has 6 divisors (see below), whose sum is σ = 15888907970. Its totient is φ = 7333342128.

The previous prime is 11000013139. The next prime is 11000013221. The reversal of 11000013201 is 10231000011.

11000013201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6691403601 + 4308609600 = 81801^2 + 65640^2 .

It is a de Polignac number, because none of the positive numbers 2k-11000013201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1222223689 = 11000013201 / (1 + 1 + 0 + 0 + 0 + 0 + 1 + 3 + 2 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11000013221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611111836 + ... + 611111853.

Almost surely, 211000013201 is an apocalyptic number.

It is an amenable number.

11000013201 is a deficient number, since it is larger than the sum of its proper divisors (4888894769).

11000013201 is a wasteful number, since it uses less digits than its factorization.

11000013201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222223695 (or 1222223692 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11000013201 its reverse (10231000011), we get a palindrome (21231013212).

It can be divided in two parts, 110000 and 13201, that added together give a square (123201 = 3512).

The spelling of 11000013201 in words is "eleven billion, thirteen thousand, two hundred one".

Divisors: 1 3 9 1222223689 3666671067 11000013201